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A note on palindromic δ-vectors for certain rational polytopes

Fiset, Matthew; Kasprzyk, Alexander M.

Authors

Matthew Fiset

Alexander M. Kasprzyk



Abstract

Let P be a convex polytope containing the origin, whose dual is a lattice polytope. Hibi's Palindromic Theorem tells us that if P is also a lattice polytope then the Ehrhart δ-vector of P is palindromic. Perhaps less well-known is that a similar result holds when P is rational. We present an elementary lattice-point proof of this fact.

Journal Article Type Article
Publication Date Jun 6, 2008
Journal Electronic Journal of Combinatorics
Electronic ISSN 1077-8926
Publisher Electronic Journal of Combinatorics
Peer Reviewed Peer Reviewed
Volume 15
Article Number N18
APA6 Citation Fiset, M., & Kasprzyk, A. M. (2008). A note on palindromic δ-vectors for certain rational polytopes. Electronic Journal of Combinatorics, 15,
Publisher URL http://www.combinatorics.org/Volume_15/Abstracts/v15i1n18.html
Related Public URLs http://www.combinatorics.org
Copyright Statement Copyright information regarding this work can be found at the following address: http://eprints.nottingh.../end_user_agreement.pdf

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Copyright Statement
Copyright information regarding this work can be found at the following address: http://eprints.nottingham.ac.uk/end_user_agreement.pdf





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